Black spots on UV mapped objects
Adding the answer for completeness! 

From the above comments, I compared the "Sat" camera object with a "good camera". The focal length of sat was set at 13 meters vs 3.8mm in the default camera. I think the largest focal length lens in real life is way smaller, so maybe that's why it got all screwy. Anyway, if you change the focal lens size to 3.8mm or some other realistic size, you should be good! You will also need to move the camera closer to the object.